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Finding the Fourth Proportional to 266,553.16, 399,632.22 and 161,347.24

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Solution

The fourth proportional to 266,553.16, 399,632.22 and 161,347.24 is: 241,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,553.16 : 399,632.22 = 161,347.24 : x
  2. Step 2: Convert to fraction form
    266,553.16/399,632.22 = 161,347.24/x
  3. Step 3: Cross multiply
    266,553.16x = 399,632.22 × 161,347.24
  4. Step 4: Simplify right side
    266,553.16x = 64,479,555,712.07
  5. Step 5: Solve for x
    x = 64,479,555,712.07/266,553.16
  6. Step 6: Final answer
    x = 241,901.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.